Problems on Ages Worksheet
The method (Same years for everyone): “k times as old”: the younger is 1 part, the older is k parts. n years ago or later: change every age by n before using the clue. Sum and difference: younger = (sum − difference) ÷ 2. For “in a years … b years ago”, let the age be x and solve.
NameDateTime takenScore ___ / 40
- 1.Arjun’s father is five times as old as Arjun. The sum of their ages is 30 years. How old is Arjun?
- 2.2 years ago, Ananya’s mother was three times as old as Ananya. The mother is 26 years old now. How old is Ananya now?
- 3.In 10 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
- 4.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 60 years. How old is Saanvi?
- 5.Zoya’s father is four times as old as Zoya. The sum of their ages is 75 years. How old is the father?
- 6.Sneha’s father is twice as old as Sneha. The sum of their ages is 36 years. How old is the father?
- 7.5 years ago, Dev’s mother was four times as old as Dev. The mother is 45 years old now. How old is Dev now?
- 8.Diya’s father is four times as old as Diya. The sum of their ages is 55 years. How old is the father?
- 9.Aarav’s father is twice as old as Aarav. The sum of their ages is 27 years. How old is Aarav?
- 10.Tara is 5 years older than Ananya. In 7 years, the sum of their ages will be 49. How old is Ananya now?
- 11.4 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 22 years old now. How old is Ishaan now?
- 12.Diya is 9 years older than Kabir. In 6 years, the sum of their ages will be 39. How old is Kabir now?
- 13.2 years ago, Meera’s mother was twice as old as Meera. The mother is 22 years old now. How old is Meera now?
- 14.2 years ago, Arjun’s mother was three times as old as Arjun. The mother is 17 years old now. How old is Arjun now?
- 15.In 8 years, Zoya will be twice as old as Zoya was 6 years ago. How old is Zoya now?
- 16.In 30 years, Karan will be three times as old as Karan was 4 years ago. How old is Karan now?
- 17.Ananya’s father is twice as old as Ananya. The sum of their ages is 18 years. How old is the father?
- 18.Dev is 6 years older than Zoya. In 3 years, the sum of their ages will be 56. How old is Zoya now?
- 19.In 11 years, Aarav will be twice as old as Aarav was 5 years ago. How old is Aarav now?
- 20.Rahul is 8 years older than Diya. In 9 years, the sum of their ages will be 36. How old is Diya now?
- 21.Manav is 6 years older than Aarav. In 8 years, the sum of their ages will be 82. How old is Aarav now?
- 22.Meera’s father is twice as old as Meera. The sum of their ages is 21 years. How old is the father?
- 23.10 years ago, Rahul’s mother was twice as old as Rahul. The mother is 26 years old now. How old is Rahul now?
- 24.3 years ago, Karan’s mother was three times as old as Karan. The mother is 15 years old now. How old is Karan now?
- 25.In 19 years, Isha will be three times as old as Isha was 3 years ago. How old is Isha now?
- 26.6 years ago, Priya’s mother was twice as old as Priya. The mother is 22 years old now. How old is Priya now?
- 27.In 21 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
- 28.10 years ago, Zoya’s mother was twice as old as Zoya. The mother is 18 years old now. How old is Zoya now?
- 29.In 16 years, Aarav will be three times as old as Aarav was 2 years ago. How old is Aarav now?
- 30.Dev is 4 years older than Vivaan. In 9 years, the sum of their ages will be 34. How old is Vivaan now?
- 31.In 24 years, Ananya will be twice as old as Ananya was 6 years ago. How old is Ananya now?
- 32.Dev’s father is twice as old as Dev. The sum of their ages is 18 years. How old is the father?
- 33.In 20 years, Aditya will be three times as old as Aditya was 2 years ago. How old is Aditya now?
- 34.Ananya is 6 years older than Isha. In 3 years, the sum of their ages will be 38. How old is Isha now?
- 35.9 years ago, Tara’s mother was twice as old as Tara. The mother is 31 years old now. How old is Tara now?
- 36.In 25 years, Sneha will be twice as old as Sneha was 4 years ago. How old is Sneha now?
- 37.Isha is 10 years older than Farhan. In 2 years, the sum of their ages will be 70. How old is Farhan now?
- 38.8 years ago, Meera’s mother was twice as old as Meera. The mother is 14 years old now. How old is Meera now?
- 39.10 years ago, Meera’s mother was four times as old as Meera. The mother is 42 years old now. How old is Meera now?
- 40.Rahul is 10 years older than Priya. In 3 years, the sum of their ages will be 68. How old is Priya now?
Answer key
- 5
- 10
- 14
- 15
- 60
- 24
- 15
- 44
- 9
- 15
- 10
- 9
- 12
- 7
- 20
- 21
- 12
- 22
- 21
- 5
- 30
- 14
- 18
- 7
- 14
- 14
- 29
- 14
- 11
- 6
- 36
- 12
- 13
- 13
- 20
- 33
- 28
- 11
- 18
- 26
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